Atkin-Lehner |
2- 3- 11+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418w |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4.5555151794249E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272483006,-1393730317915] |
[a1,a2,a3,a4,a6] |
Generators |
[-486674335:21098608133:42875] |
Generators of the group modulo torsion |
j |
3069124086039407871790942873/624899201567196636399528 |
j-invariant |
L |
7.338029334928 |
L(r)(E,1)/r! |
Ω |
0.03769012295315 |
Real period |
R |
16.224474652313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000005323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25806g4 |
Quadratic twists by: -3 |